Report of the fit

Fit summary

Description: PV19 version x
Minimiser: minuit
Random seed: 1234
Maximum values allowed for q_T / Q: 0.2
Percentile cut: 5
Parameterisation: PV19x
Initial parameters fluctuations: False
Explicit formula:

f_{\rm NP}(x,\zeta, b_T)= \Biggl( \frac{1-\lambda}{1 + g_1(x) b_T^2/4} + \lambda \exp \left(-g_{1B}(x) b_T^2 / 4 \right)\Biggr) \exp\left[- g_2 \log\left(\frac{\zeta}{Q_0^2}\right) b_T^2/4 - g_{2B} \log\left(\frac{\zeta}{Q_0^2}\right) b_T^4/4 \right]g_1(x) = \frac{N_1}{x\sigma} \exp\left[ - \frac{\ln^2\left(\frac{x}{\alpha}\right)}{2 \sigma^2} \right]g_{1B}(x) = \frac{N_{1B}}{x\sigma_B} \exp\left[ - \frac{\ln^2\left(\frac{x}{\alpha_B}\right)}{2 \sigma_B^2} \right]Q_0^2 = 1\;{\rm GeV}^2 t_0 prescription: True

g_2	N_1	\alpha	\sigma	\lambda	N_{1B}	\alpha_B	\sigma_B	g_{2B}
0.03929225337166122	0.4585030605651706	0.2047307296278494	0.39219414364312494	0.5466961452424751	0.03936952389514996	0.06685346557972836	0.35528288710185424	0.010173598239098757

Theory summary

Collinear PDF set: MMHT2014nnlo68cl member 0
Collinear FF set: DSS14_NLO_PiSum member 0
b^* prescription: bstarmin
Perturbative order: N3LL
Reference value of the fine-structure constant: \alpha(Q = 91.1876\;{\rm GeV}) = 0.00776578395589 (running True)

Global statistical estimators

N_{rep} = 203
\chi_{0}^2 = 1.07
\chi_{mean}^2 = 1.02
\langle\chi^2\rangle \pm \sigma_{\chi^2} = 1.09 \pm 0.01
\langle E \rangle \pm \sigma_{E} = 2.09 \pm 0.16

Parameters

Parameter	Central replica	Average over replicas	Fixed
g_2	0.037923106	0.03621274 \pm 0.00860477	False
N_1	0.51881393	0.62481322 \pm 0.28221709	False
\alpha	0.20314198	0.20644958 \pm 0.00983289	False
\sigma	0.37327219	0.37011055 \pm 0.06267228	False
\lambda	0.57973261	0.5797666 \pm 0.09166202	False
N_{1B}	0.039554376	0.0443336 \pm 0.0122624	False
\alpha_B	0.067696657	0.06890795 \pm 0.00895598	False
\sigma_B	0.36307837	0.35625572 \pm 0.07538985	False
g_{2B}	0.011221607	0.01156522 \pm 0.00302411	False

Fit properties

Global $\chi^2$ distribution — Global \chi^2 distribution

$\alpha$ distribution — \alpha distribution

$\sigma$ distribution — \sigma distribution

$\lambda$ distribution — \lambda distribution

$N_{1B}$ distribution — N_{1B} distribution

$\alpha_B$ distribution — \alpha_B distribution

$\sigma_B$ distribution — \sigma_B distribution

$g_{2B}$ distribution — g_{2B} distribution

Table of \chi^2’s

Central-replica \chi^2’s:
Experiment	Number of points	\chi_{D}^2	\chi_{\lambda}^2	\chi^2
E605_Q_7_8	7	0.67	0.01	0.68
E605_Q_8_9	8	1.52	0.0	1.52
E605_Q_10.5_11.5	10	0.34	0.17	0.51
E605_Q_11.5_13.5	12	0.8	0.49	1.29
E605_Q_13.5_18	13	1.41	0.61	2.02
E288_200_Q_4_5	4	0.52	0.84	1.37
E288_200_Q_5_6	5	1.36	0.27	1.63
E288_200_Q_6_7	6	0.26	0.13	0.39
E288_200_Q_7_8	7	0.4	0.0	0.41
E288_200_Q_8_9	8	0.55	0.04	0.59
E288_300_Q_4_5	4	0.47	0.56	1.03
E288_300_Q_5_6	5	0.76	0.16	0.91
E288_300_Q_6_7	6	0.41	0.03	0.45
E288_300_Q_7_8	7	0.09	0.01	0.1
E288_300_Q_8_9	8	0.55	0.0	0.56
E288_300_Q_11_12	9	0.36	0.25	0.61
E288_400_Q_5_6	5	0.27	0.01	0.28
E288_400_Q_6_7	6	0.08	0.0	0.08
E288_400_Q_7_8	7	0.02	0.02	0.04
E288_400_Q_8_9	8	0.41	0.05	0.46
E288_400_Q_11_12	11	0.51	0.05	0.56
E288_400_Q_12_13	12	0.49	0.05	0.54
E288_400_Q_13_14	12	0.59	0.09	0.68
STAR_510	7	0.89	0.03	0.92
CDF_RunI	25	0.53	0.06	0.59
CDF_RunII	26	0.87	0.0	0.88
D0_RunI	12	0.63	0.05	0.67
D0_RunII	5	1.13	0.61	1.74
D0_RunIImu	3	3.28	0.03	3.31
LHCb_7TeV	7	1.13	0.16	1.28
LHCb_8TeV	7	0.54	0.08	0.62
LHCb_13TeV	7	0.79	0.02	0.81
CMS_7TeV	4	2.13	0	2.13
CMS_8TeV	4	1.43	0.01	1.43
ATLAS_7TeV_y_0_1	6	2.65	0.03	2.68
ATLAS_7TeV_y_1_2	6	4.2	1.03	5.24
ATLAS_7TeV_y_2_2.4	6	3.51	0.38	3.9
ATLAS_8TeV_y_0_0.4	6	2.0	0.35	2.36
ATLAS_8TeV_y_0.4_0.8	6	2.2	0.27	2.47
ATLAS_8TeV_y_0.8_1.2	6	0.89	0.06	0.96
ATLAS_8TeV_y_1.2_1.6	6	0.91	0.1	1.02
ATLAS_8TeV_y_1.6_2	6	0.61	0.08	0.69
ATLAS_8TeV_y_2_2.4	6	0.72	0.3	1.02
ATLAS_8TeV_Q_46_66	4	2.3	0.7	3.0
ATLAS_8TeV_Q_116_150	8	0.5	0.0	0.5
Total	353	-	-	1.07

Mean-replica \chi^2’s:
Experiment	Number of points	\chi_{D}^2	\chi_{\lambda}^2	\chi^2
E605_Q_7_8	7	0.42	0.07	0.49
E605_Q_8_9	8	0.99	0.03	1.03
E605_Q_10.5_11.5	10	0.19	0.14	0.33
E605_Q_11.5_13.5	12	0.49	0.28	0.77
E605_Q_13.5_18	13	0.49	0.39	0.88
E288_200_Q_4_5	4	0.21	0.65	0.86
E288_200_Q_5_6	5	0.67	0.29	0.96
E288_200_Q_6_7	6	0.13	0.14	0.27
E288_200_Q_7_8	7	0.25	0.01	0.27
E288_200_Q_8_9	8	0.65	0.02	0.68
E288_300_Q_4_5	4	0.23	0.55	0.79
E288_300_Q_5_6	5	0.5	0.2	0.71
E288_300_Q_6_7	6	0.32	0.06	0.38
E288_300_Q_7_8	7	0.06	0.03	0.09
E288_300_Q_8_9	8	0.53	0.02	0.55
E288_300_Q_11_12	9	1.05	0.17	1.21
E288_400_Q_5_6	5	0.31	0.07	0.38
E288_400_Q_6_7	6	0.1	0.0	0.1
E288_400_Q_7_8	7	0.02	0.01	0.03
E288_400_Q_8_9	8	0.44	0.04	0.48
E288_400_Q_11_12	11	0.64	0.04	0.67
E288_400_Q_12_13	12	0.79	0.03	0.82
E288_400_Q_13_14	12	1.06	0.04	1.11
STAR_510	7	0.78	0.05	0.84
CDF_RunI	25	0.48	0.06	0.54
CDF_RunII	26	0.96	0.0	0.96
D0_RunI	12	0.71	0.04	0.75
D0_RunII	5	1.33	0.61	1.94
D0_RunIImu	3	3.2	0.02	3.22
LHCb_7TeV	7	1.07	0.19	1.26
LHCb_8TeV	7	0.46	0.07	0.53
LHCb_13TeV	7	0.74	0.02	0.75
CMS_7TeV	4	2.13	0	2.13
CMS_8TeV	4	1.41	0.01	1.41
ATLAS_7TeV_y_0_1	6	2.58	0.03	2.61
ATLAS_7TeV_y_1_2	6	4.33	1.03	5.36
ATLAS_7TeV_y_2_2.4	6	3.56	0.38	3.94
ATLAS_8TeV_y_0_0.4	6	1.92	0.34	2.26
ATLAS_8TeV_y_0.4_0.8	6	2.34	0.25	2.59
ATLAS_8TeV_y_0.8_1.2	6	0.92	0.06	0.98
ATLAS_8TeV_y_1.2_1.6	6	0.91	0.09	1.01
ATLAS_8TeV_y_1.6_2	6	0.72	0.09	0.81
ATLAS_8TeV_y_2_2.4	6	0.93	0.35	1.28
ATLAS_8TeV_Q_46_66	4	2.14	0.74	2.88
ATLAS_8TeV_Q_116_150	8	0.5	0.0	0.5
Total	353	-	-	1.02

Average-over-replicas \chi^2’s:
Experiment	Number of points	\chi^2
E605_Q_7_8	7	0.69 \pm 0.11
E605_Q_8_9	8	1.54 \pm 0.22
E605_Q_10.5_11.5	10	0.55 \pm 0.07
E605_Q_11.5_13.5	12	1.39 \pm 0.11
E605_Q_13.5_18	13	2.04 \pm 0.11
E288_200_Q_4_5	4	1.43 \pm 0.29
E288_200_Q_5_6	5	1.67 \pm 0.2
E288_200_Q_6_7	6	0.42 \pm 0.08
E288_200_Q_7_8	7	0.43 \pm 0.14
E288_200_Q_8_9	8	0.6 \pm 0.07
E288_300_Q_4_5	4	1.09 \pm 0.27
E288_300_Q_5_6	5	0.94 \pm 0.14
E288_300_Q_6_7	6	0.46 \pm 0.13
E288_300_Q_7_8	7	0.12 \pm 0.04
E288_300_Q_8_9	8	0.58 \pm 0.1
E288_300_Q_11_12	9	0.61 \pm 0.03
E288_400_Q_5_6	5	0.32 \pm 0.08
E288_400_Q_6_7	6	0.11 \pm 0.03
E288_400_Q_7_8	7	0.08 \pm 0.05
E288_400_Q_8_9	8	0.5 \pm 0.08
E288_400_Q_11_12	11	0.6 \pm 0.14
E288_400_Q_12_13	12	0.57 \pm 0.04
E288_400_Q_13_14	12	0.7 \pm 0.05
STAR_510	7	0.93 \pm 0.05
CDF_RunI	25	0.59 \pm 0.02
CDF_RunII	26	0.9 \pm 0.07
D0_RunI	12	0.67 \pm 0.03
D0_RunII	5	1.7 \pm 0.22
D0_RunIImu	3	3.21 \pm 0.44
LHCb_7TeV	7	1.28 \pm 0.04
LHCb_8TeV	7	0.67 \pm 0.13
LHCb_13TeV	7	0.85 \pm 0.07
CMS_7TeV	4	2.13 \pm 0.01
CMS_8TeV	4	1.43 \pm 0.05
ATLAS_7TeV_y_0_1	6	2.71 \pm 0.24
ATLAS_7TeV_y_1_2	6	5.29 \pm 0.09
ATLAS_7TeV_y_2_2.4	6	3.92 \pm 0.11
ATLAS_8TeV_y_0_0.4	6	2.36 \pm 0.13
ATLAS_8TeV_y_0.4_0.8	6	2.5 \pm 0.09
ATLAS_8TeV_y_0.8_1.2	6	0.99 \pm 0.08
ATLAS_8TeV_y_1.2_1.6	6	1.04 \pm 0.15
ATLAS_8TeV_y_1.6_2	6	0.8 \pm 0.24
ATLAS_8TeV_y_2_2.4	6	1.05 \pm 0.22
ATLAS_8TeV_Q_46_66	4	2.99 \pm 0.12
ATLAS_8TeV_Q_116_150	8	0.5 \pm 0.01
Total	353	1.09 \pm 0.01